8/q-3/2q

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Solution for 8/q-3/2q equation: 


D( q )

q = 0

q = 0

q = 0

q in (-oo:0) U (0:+oo)

8/q-((3/2)*q) = 0

(-3/2)*q+8/q = 0

8*q^-1-3/2*q^1 = 0

(8*q^0-3/2*q^2)/(q^1) = 0 // * q^2

q^1*(8*q^0-3/2*q^2) = 0

q^1

(-3/2)*q^2+8 = 0

(-3/2)*q^2+8 = 0

DELTA = 0^2-(4*8*(-3/2))

DELTA = 48

DELTA > 0

q = (48^(1/2)+0)/(2*(-3/2)) or q = (0-48^(1/2))/(2*(-3/2))

q = (4*3^(1/2))/(-3) or q = (-4*3^(1/2))/(-3)

q in { (4*3^(1/2))/(-3), (-4*3^(1/2))/(-3)} 

q in { (4*3^(1/2))/(-3), (-4*3^(1/2))/(-3) }

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